Kauffman bracket skein module of the $(3,3,3,3)$-pretzel link exterior
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909680462200832 |
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| author | Chen, Haimiao |
| author_facet | Chen, Haimiao |
| contents | We show that the Kauffman bracket skein module of the $(3,3,3,3)$-pretzel link exterior over $\mathbb{Q}(q^{\frac{1}{2}})$ is not finitely generated as a module over $\mathbb{Q}(q^{\frac{1}{2}})[t_1,t_2]$, where $t_1,t_2$ are the meridians of two components. This disproves a finiteness conjecture of Detcherry proposed in 2021. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16234 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kauffman bracket skein module of the $(3,3,3,3)$-pretzel link exterior Chen, Haimiao Geometric Topology 57K16, 57K31 We show that the Kauffman bracket skein module of the $(3,3,3,3)$-pretzel link exterior over $\mathbb{Q}(q^{\frac{1}{2}})$ is not finitely generated as a module over $\mathbb{Q}(q^{\frac{1}{2}})[t_1,t_2]$, where $t_1,t_2$ are the meridians of two components. This disproves a finiteness conjecture of Detcherry proposed in 2021. |
| title | Kauffman bracket skein module of the $(3,3,3,3)$-pretzel link exterior |
| topic | Geometric Topology 57K16, 57K31 |
| url | https://arxiv.org/abs/2502.16234 |